The pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse or a² + b² = c².
The converse of the pythagorean theorem on the other hand states that if the sum of the squares of 2 sides of a triangle is equal to the square of the third side or a² + b² = c², then the triangle is a right triangle.
The converse switches the order of the <em>if</em> and <em>then</em> statements.
On the whiteboard, I have also written it.
Image provided.
Solution :
To claim to be tested is whether "the mean salary is higher than 48,734".
i.e. μ > 48,734
Therefore the null and the alternative hypothesis are
and
Here, n = 50
s = 3600
We take , α = 0.05
The test statistics t is given by
t = 2.15
Now the ">" sign in the sign indicates that the right tailed test
Now degree of freedom, df = n - 1
= 50 - 1
= 49
Therefore, the p value = 0.02
The observed p value is less than α = 0.05, therefore we reject . Hence the mean salary that the accounting graduates are offered from the university is more than the average salary of 48,734 dollar.
